Plz help me well mark brainliest if correct?...

Which lines from the speech best supports this topic sentence? and as we walk, we must make the pledge that we shall always march ahead. we cannot turn back. there are those who are asking the devotees of civil rights, "when will you be satisfied? " and they have come to realize that their freedom is inextricably bound to our freedom. we cannot walk alone. we refuse to believe that there are insufficient funds in the great vaults of opportunity of this nation. and so we've come to cash this check, a check that will give us upon demand the riches of freedom and the security of justice. and so let freedom ring from the prodigious hilltops of new hampshire. let freedom ring from the mighty mountains of new york. let freedom ring from the heightening alleghenies of pennsylvania.

One of the author's purposes in the code book is to explain different types of codebreaking to his readers. which line best demonstrates this purpose? a theoretical breakthrough would be a fundamentally new way of finding alice's private key mathematicians have been studying factoring for centuries, and modern factoring techniques are not significantly better than ancient techniques a more recent development is the so-called tempest attack, which aims to detect the electromagnetic signals emitted in a computer's display unit if scientists could build a quantum computer, it would be able to perform calculations with enormous speed mark this and return save and exit next submit

Olivia is making scarves each scarf will have 5 rectangles and 2-5 of the rectangles with be purple how many purple rectangles does she need for three scarves